Potential functions in electromagnetic field problems

In two dimensional problems with the current flow in only one direction, the magnetic field can be solved by computing a scalar potential or one component of the vector potential. The general formulation for three dimensional solutions, including nonlinearities, is more complex and requires all thre...

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Bibliographic Details
Published in:IEEE transactions on magnetics 1970-09, Vol.6 (3), p.513-518
Main Author: Sarma, M.
Format: Article
Language:English
Subjects:
Conducting materials
Dielectric materials
Electromagnetic fields
Frequency
Integral equations
Magnetic fields
Magnetic materials
Magnetic separation
Nonlinear magnetics
Remanence
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Summary:In two dimensional problems with the current flow in only one direction, the magnetic field can be solved by computing a scalar potential or one component of the vector potential. The general formulation for three dimensional solutions, including nonlinearities, is more complex and requires all three components of the vector potential as well as a scalar potential for the description of the fields. It is the purpose of this paper to present a general systematic formulation at low frequencies in terms of potential functions for three dimensional numerical solutions of the nonlinear electro-magnetic field problems that include either nonlinear magnetic materials or nonlinear electric materials. Special cases of the magnetostatic as well as eddy-current problems are discussed.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.1970.1066924